6533b823fe1ef96bd127e9c9
RESEARCH PRODUCT
On real-time algorithms for the location search of discontinuous conductivities with one measurement
Martin Hankesubject
Current (mathematics)business.industryApplied MathematicsBoundary (topology)Context (language use)Inverse problemComputer Science ApplicationsTheoretical Computer ScienceDipoleSimple (abstract algebra)Nondestructive testingSignal ProcessingPoint (geometry)businessAlgorithmMathematical PhysicsMathematicsdescription
We discuss, and compare, two simple methods that provide coordinates of a point in the vicinity of one inclusion within some object with homogeneous electrical properties. In the context of nondestructive testing such an inclusion may correspond to a material defect, whereas in medicine this may correspond to a lesion in the brain, to name only two possible applications. Both methods use only one pair of voltage/current measurements on the entire boundary of the object to determine a single pair of coordinates that is considered to be close to the center of the inclusion. The first method has been proposed previously by Kwon, Seo and Yoon; the second method, called here the effective dipole method, appears to be new. We discuss limitations of the two methods and derive error bounds for the effective dipole method under realistic assumptions. Finally, we also comment on other methods to localize inclusions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-06-02 | Inverse Problems |